Recall that 2sin(x) cos(x) is actually equal to sin(2x).
We can prove this by expanding sin(2x) to sin(x + x).
sin(x + x) = sin(x) cos(x) + cos(x) sin(x) = 2sinxcosx
Thus, 2sin(x/2)cos(x/2) can be rewritten in the form:
sin(2x/2), and this simplifies down to sinx.
Answer:
(3,7) and (-3,-5)
Step-by-step explanation:
To solve the system of equations, graph both functions. The (x,y) point(s) where the functions intersect is the solution(s).
See attached picture.
R = x(A + B) solve for B
B = (R-A)/X
Answer:
The new size is 4.3 x 5.7
Step-by-step explanation:
The photo originally measures
13 inches x 17 inches
If we apply a scale factor of 1/3, this means that we multiply each size by one third
13 inches * (1/3) = 4.333 in
17 inches * (1/3) = 5.666 in
If we round up we get
4.3 in
5.7 in
The new size is 4.3 x 5.7
